Computing automorphisms of Mori dream spaces
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- by Jürgen Hausen, Simon Keicher and Rüdiger Wolf PDF
- Math. Comp. 86 (2017), 2955-2974 Request permission
Abstract:
We present an algorithm to compute the automorphism group of a Mori dream space. As an example calculation, we determine the automorphism groups of singular cubic surfaces with general parameters. The strategy is to study graded automorphisms of an affine algebra graded by a finitely generated abelian group and apply the results to the Cox ring. Besides the application to Mori dream spaces, our results could be used for symmetry based computing, e.g., for Gröbner bases or tropical varieties.References
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Additional Information
- Jürgen Hausen
- Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
- MR Author ID: 361664
- Email: juergen.hausen@uni-tuebingen.de
- Simon Keicher
- Affiliation: Departamento de Matematica, Facultad de Ciencias Fisicas y Matematicas, Universidad de Concepción, Casilla 160-C, Concepción, Chile
- MR Author ID: 1001701
- Email: keicher@mail.mathematik.uni-tuebingen.de
- Rüdiger Wolf
- Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
- Received by editor(s): November 19, 2015
- Received by editor(s) in revised form: May 3, 2016
- Published electronically: May 11, 2017
- Additional Notes: The second author was supported by proyecto FONDECYT postdoctorado N. 3160016.
- © Copyright 2017 American Mathematical Society
- Journal: Math. Comp. 86 (2017), 2955-2974
- MSC (2010): Primary 14L30, 13A50, 14J50, 14Q15
- DOI: https://doi.org/10.1090/mcom/3185
- MathSciNet review: 3667033